10121111220000 has 240 divisors, whose sum is σ = 36217386751392. Its totient is φ = 2453602560000.

The previous prime is 10121111219981. The next prime is 10121111220001. The reversal of 10121111220000 is 2211112101.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10121111220001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7007509 + ... + 8327508.

Almost surely, 2^{10121111220000} is an apocalyptic number.

10121111220000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121111220000 is an abundant number, since it is smaller than the sum of its proper divisors (26096275531392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10121111220000 is a wasteful number, since it uses less digits than its factorization.

10121111220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15335061 (or 15335038 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10121111220000 its reverse (2211112101), we get a palindrome (10123322332101).

The spelling of 10121111220000 in words is "ten trillion, one hundred twenty-one billion, one hundred eleven million, two hundred twenty thousand".